Generalized characteristics and Lax–Oleinik operators: global theory View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-10

AUTHORS

Piermarco Cannarsa, Wei Cheng

ABSTRACT

For autonomous Tonelli systems on Rn, we develop an intrinsic proof of the existence of generalized characteristics using sup-convolutions. This approach, together with convexity estimates for the fundamental solution, leads to new results such as the global propagation of singularities along generalized characteristics.

PAGES

125

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00526-017-1219-4

DOI

http://dx.doi.org/10.1007/s00526-017-1219-4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1091286300


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